Now you are cooking with gas. Old words take on new meanings as our needs change. Those words were coined when our understanding and use of electricity was pretty primitive.
What you say about current applies only to a resistor connected across that voltage. Connect a capacitor across it and the DC part is ignored and AC (alternating current) passes through the capacitor as if the wave were perfectly centered on zero volts.
I prefer "expanded", "enhanced", "extended" or "refined".
Sure. The important thing is that the speaker and listener are using similar definitions of the words in use, or there is bound to be a misunderstanding.